Cowley, along with brother Nicky, took charge of the Fratton Park helm last Friday.
And they got off to the perfect start with a 2-1 defeat of League One play-off rivals Ipswich.
Now the Blues go to Steve Cotterill’s Shrews aiming to inch closer to the top six.
However, Pompey will be without Ronan Curtis for the New Meadows encouter. The winger is away on international duty with the Republic of Ireland so a berth on the left-hand side of midfield needs filling.
John Marquis (ankle) is also an injury doubt so that leaves Cowley short of striking options, with Ellis Harrison sidelined for the remainder of the campaign with a knee problem.
Here’s how we reckon Pompey will line-up to face Shrewsbury...
5. Left-back - Lee Brown
Has surely nailed down the left-back spot after being rotated with Charlie Daniels under Kenny Jackett. Photo: Daniel Chesterton
6. Right-midfield - Marcus Harness
Scored his first league goal in four-and-a-half months against Ipswich and seemingly enjoyed being let off the lead more. Photo: Daniel Chesterton
7. Centre-midfield - Tom Naylor
Has retained his status as Pompey's lynchpin despite the change of management. Photo: Nigel Keene
8. Centre-midfield - Andy Cannon
Been a key cog for Pompey this season but now has even tougher competition after Ben Close's performance off the bench against Ipswich. Cannon still should get the nod, though. Photo: Daniel Chesterton